14910990494400 has 5040 divisors, whose sum is σ = 76183856198912. Its totient is φ = 2793537331200.

The previous prime is 14910990494383. The next prime is 14910990494417. The reversal of 14910990494400 is 449409901941.

14910990494400 is a `hidden beast` number, since 1 + 4 + 9 + 109 + 9 + 0 + 494 + 40 + 0 = 666.

14910990494400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14910990494383) and next prime (14910990494417).

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 346767220779 + ... + 346767220821.

Almost surely, 2^{14910990494400} is an apocalyptic number.

14910990494400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14910990494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38091928099456).

14910990494400 is an abundant number, since it is smaller than the sum of its proper divisors (61272865704512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14910990494400 is an equidigital number, since it uses as much as digits as its factorization.

14910990494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 14910990494400 in words is "fourteen trillion, nine hundred ten billion, nine hundred ninety million, four hundred ninety-four thousand, four hundred".